by
Kaufmann, Jerome; Schwitters, Karen;

Answer

$n\le120$

Work Step by Step

Multiplying both sides by the $LCD=
12
$ and then using the properties of inequalities, the solution to the given inequality, $
\dfrac{3}{4}n-6\le\dfrac{2}{3}n+4
,$ is
\begin{array}{l}\require{cancel}
3(3n)-12(6)\le4(2n)+12(4)
\\\\
9n-72\le8n+48
\\\\
9n-8n\le48+72
\\\\
n\le120
.\end{array}